Superconformal current algebras and topological field theories

TL;DR

This paper constructs topological conformal field theories using superconformal current algebras, extending twisted N=2 superconformal algebra with supersymmetric $G/G$ coset models, highlighting their extended supersymmetry and algebraic structure.

Contribution

It introduces a new class of topological conformal field theories based on superconformal current algebras, generalizing the $G/G$ coset models with extended supersymmetry.

Findings

Models possess an algebra generated by operators of dimensions 1, 2, and 3.

Extended supersymmetry generators are exact in the topological BRST cohomology.

The topological algebra extends the twisted N=2 superconformal algebra.

Abstract

Topological conformal field theories based on superconformal current algebras are constructed. The models thus obtained are the supersymmetric version of the $G/G$ coset theories. Their topological conformal algebra is generated by operators of dimensions $1$, $2$ and $3$ and can be regarded as an extension of the twisted $N=2$ superconformal algebra. These models possess an extended supersymmetry whose generators are exact in the topological BRST cohomology.